3691737978240 has 512 divisors, whose sum is σ = 13250037749760. Its totient is φ = 867486597120.

The previous prime is 3691737978221. The next prime is 3691737978251. The reversal of 3691737978240 is 428797371963.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299089509 + ... + 299101851.

It is an arithmetic number, because the mean of its divisors is an integer number (25878979980).

Almost surely, 2^{3691737978240} is an apocalyptic number.

3691737978240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3691737978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625018874880).

3691737978240 is an abundant number, since it is smaller than the sum of its proper divisors (9558299771520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3691737978240 is a wasteful number, since it uses less digits than its factorization.

3691737978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12922 (or 12910 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 66.

The spelling of 3691737978240 in words is "three trillion, six hundred ninety-one billion, seven hundred thirty-seven million, nine hundred seventy-eight thousand, two hundred forty".